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Title of Journal: J Optim Theory Appl

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Abbravation: Journal of Optimization Theory and Applications

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Springer US

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DOI

10.1002/jctb.5000494609

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ISSN

1573-2878

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Annealing a Genetic Algorithm for Constrained Opti

Authors: F Mendivil R Shonkwiler
Publish Date: 2010/06/02
Volume: 147, Issue: 2, Pages: 395-410
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Abstract

In this paper we adapt a genetic algorithm for constrained optimization problems We use a dynamic penalty approach along with some form of annealing thus forcing the search to concentrate on feasible solutions as the algorithm progresses We suggest two different generalpurpose methods for guaranteeing convergence to a globally optimal feasible solution neither of which makes any assumptions on the structure of the optimization problem The former involves modifying the GA evolution operators to yield a Boltzmanntype distribution on populations The latter incorporates a dynamic penalty along with a slow annealing of acceptance probabilities We prove that with probability one both of these methods will converge to a globally optimal feasible state

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  2. Periodic Image Trajectories in Earth–Moon Space
  3. On Approximate KKT Condition and its Extension to Continuous Variational Inequalities
  4. A Note on Testing Axioms of Revealed Preference
  5. Duality Theorem for a Three-Phase Partition Problem
  6. Normality and Nondegeneracy for Optimal Control Problems with State Constraints
  7. Optimal Control for a Groundwater Pollution Ruled by a Convection–Diffusion–Reaction Problem
  8. Stability and Controllability Issues in Mathematical Modeling of the Intensive Treatment of Leukemia
  9. The Existence of Optimal Controls for Problems Defined on Time Scales
  10. Convergent Bounds for Stochastic Programs with Expected Value Constraints
  11. Calmness and Exact Penalization in Constrained Scalar Set-Valued Optimization
  12. Splitting Methods with Variable Metric for Kurdyka–Łojasiewicz Functions and General Convergence Rates
  13. On Estimation in Interception Endgames
  14. Studies on Common Solutions of a Variational Inequality and a Fixed-Point Problem
  15. Closedness of the Solution Map in Quasivariational Inequalities of Ky Fan Type
  16. Distributed Stochastic Subgradient Projection Algorithms for Convex Optimization
  17. Harvesting Control for an Age-Structured Population in a Multilayered Habitat
  18. On Optimization over the Efficient Set in Linear Multicriteria Programming
  19. Some Existence Results of Solutions for General Variational Inequalities
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  26. Time-Optimal Control Problem for a Special Class of Control Systems: Optimal Controls and Approximation in the Sense of Time Optimality
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  30. On Iterative Methods with Accelerated Convergence for Solving Systems of Nonlinear Equations
  31. Synchronization Criterion for Lur’e Systems via Delayed PD Controller
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  33. On an Inequality of C. Sundberg: A Computational Investigation via Nonlinear Programming
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  39. Infinite Dimensional Duality Theory Applied to Investment Strategies in Environmental Policy
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  41. Feasible Method for Generalized Semi-Infinite Programming
  42. On the Convergence of Adaptive Stochastic Search Methods for Constrained and Multi-objective Black-Box Optimization
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